We're dividing 509427 by 89 
Let's see how many times 89 fits into 509427.

Advancing to step 1:
5 divided by 89 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 89

Advancing to step 2:
89 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 89

Going ahead to step 3:
When dividing 509 by 89, we get 5 with a remainder of 64.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 445 from 509, we get 64.
Fetch the next digit (4) from the dividend, attach it to 64 and continue: 644 / 89

Let's proceed to step 4:
The number 89 fits into 644 7 times, leaving a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
The remainder is 21 after subtracting 623 from 644.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 89

Moving on to step 5:
When dividing 212 by 89, we get 2 with a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 572.0
The remainder is 34 after subtracting 178 from 212.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 89

Step 6:
When dividing 347 by 89, we get 3 with a remainder of 80.
The next digit of our result is 3. 
Result so far: 5723.0
Subtracting 267 from 347 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 7:
When dividing 800 by 89, we get 8 with a remainder of 88.
The next digit of our result is 8. 
Result so far: 5723.8
Subtracting 712 from 800 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 8:
89 can be fit into 880 9 times, resulting in a remainder of 79.
Record the quotient 9 as the next digit in the result. 
Result so far: 5723.89
If we subtract 801 from 880, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 9:
The number 89 fits into 790 8 times, leaving a remainder of 78.
Use 8 as the next digit of our solution. 
Result so far: 5723.898
If we take 712 away from 790, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 10:
The number 89 fits into 780 8 times, leaving a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 5723.8988
Deduct 712 from 780 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final outcome is 5723.8988, with a leftover of 0.00068.